An endoscope’s distal end is 1 mm from the gastrointestinal wall. Fibre core and cladding refractive indices are 1.5 and 1.45. Find maximum full angular field of view in degrees to one decimal place.
The numerical aperture in air is √(ncore²−ncladding²)=√(1.5²−1.45²)=.384057. The acceptance half-angle is arcsin(.384057)≈22.585°. The full angular cone is twice this, about 45.2°. The given one-millimetre working distance affects footprint size, not this angular field in the source’s fibre model.
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